EDGE Math 8

Choose the correct factored form of each polynomial.

1.	$30 a x + 45 b x - 75 c x$

5 x (6 a + 9 b - 15 c)

(15 + x) (2 a + 3 b - 5 c)

15 x (2 a + 3 b - 5 c)

none of the choices

Answer: $15 x (2 a + 3 b - 5 c)$

2.	$3 a x^{2} + 7 a y + 6 x^{2} b^{2} + 14 b^{2} y$

(3 x^{2} + 2 b^{2}) (a + 7 y)

(3 x^{2} + 7 y) (a + 2 b^{2})

(3 x^{2} + a) (7 y + 2 b^{2})

none of the choices

Answer: $(3 x^{2} + 7 y) (a + 2 b^{2})$

3.	$4 b^{2} - 25 c^{2}$

(2 b - 5 c) (2 b + 5 c)

{(2 b - 5 c)}^{2}

{(2 b + 5 c)}^{2}

none of the choices

Answer: $(2 b - 5 c) (2 b + 5 c)$

4.	$s^{3} + 27 k^{3}$

(s + 3 k) (s^{2} + 3 k s + 9 k^{2})

(s - 3 k) (s^{2} + 3 k s + 9 k^{2})

(s + 3 k) (s^{2} - 3 k s + 9 k^{2})

none of the choices

Answer: $(s + 3 k) (s^{2} - 3 k s + 9 k^{2})$

5.	$64 x^{2} - x^{2} y^{3}$

x^{2} (4 - y) (16 - 4 y - y^{2})

x^{2} (4 + y) (16 - 4 y + y^{2})

x^{2} (4 - y) (16 + 4 y + y^{2})

none of the choices

Answer: $x^{2} (4 - y) (16 + 4 y + y^{2})$

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